I have not though about this one good enough, but I think it goes
like this:
to get the R2(n) object, take a R2(n-1) object, add points on both sides of
the R2(n-1) object, on a line perpendicular to the R2(n-1) object.

generating polytopes

download

algorithm

not all shapes have a very optimal generation algorithm yet.
nor have i written an algorithm for all shapes yet.
but most are done, this diagram shows what items are generated ( optimal with
respect to nr of objects tested )
or bruteforced ( trying all combinations, not just the ones nescesary )